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On the Solutions of a (3+1)-Dimensional Novel KP-Like Equation

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Abstract

This paper aims to study a (\(3+1\))-dimensional novel KP-like equation, which arises in the analysis of versions of resonant phenomena. The classical symmetry approach will be employed to search for exact solutions. Thereafter, we will search for the admitted conserved vectors of the mentioned novel KP-like equation. Although Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580, 2020) have given a recommendable effort to solve a new (\(3+1\))-dimensional novel KP-like equation, there is no unified method. The method employed in Kuo and Ma (Wave Random Complex, https://doi.org/10.1080/17455030.2020.1792580, 2020), cannot be used to construct conservation laws or point symmetries and hence this prompted the utilization of the classical symmetry approach for the underlying equation.

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Authors and Affiliations

  1. Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho, 2735, Republic of South Africa

    T. S. Moretlo & B. Muatjetjeja

  2. Department of Mathematics,   Faculty of Science, University of Botswana, Private Bag 22, Gaborone, Botswana

    B. Muatjetjeja

  3. Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria, 0003, Republic of South Africa

    A. R. Adem

Authors
  1. T. S. Moretlo
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  2. B. Muatjetjeja
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  3. A. R. Adem
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Correspondence to B. Muatjetjeja.

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Moretlo, T.S., Muatjetjeja, B. & Adem, A.R. On the Solutions of a (3+1)-Dimensional Novel KP-Like Equation. Iran J Sci Technol Trans Sci 45, 1037–1041 (2021). https://doi.org/10.1007/s40995-021-01096-2

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  • DOI: https://doi.org/10.1007/s40995-021-01096-2

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